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Simplifying 6x(x + -3) = 2x(3x + -4) + -10x Reorder the terms: 6x(-3 + x) = 2x(3x + -4) + -10x (-3 * 6x + x * 6x) = 2x(3x + -4) + -10x (-18x + 6x2) = 2x(3x + -4) + -10x Reorder the terms: -18x + 6x2 = 2x(-4 + 3x) + -10x -18x + 6x2 = (-4 * 2x + 3x * 2x) + -10x -18x + 6x2 = (-8x + 6x2) + -10x Reorder the terms: -18x + 6x2 = -8x + -10x + 6x2 Combine like terms: -8x + -10x = -18x -18x + 6x2 = -18x + 6x2 Add '18x' to each side of the equation. -18x + 18x + 6x2 = -18x + 18x + 6x2 Combine like terms: -18x + 18x = 0 0 + 6x2 = -18x + 18x + 6x2 6x2 = -18x + 18x + 6x2 Combine like terms: -18x + 18x = 0 6x2 = 0 + 6x2 6x2 = 6x2 Add '-6x2' to each side of the equation. 6x2 + -6x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 0 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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